lartv(3)

Library Functions Manual

lartv(3)

NAME

lartv - lartv: apply vector of plane rotations to vectors

SYNOPSIS

Functions

subroutine clartv (n, x, incx, y, incy, c, s, incc)
CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. subroutine dlartv (n, x, incx, y, incy, c, s, incc)
DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. subroutine slartv (n, x, incx, y, incy, c, s, incc)
SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. subroutine zlartv (n, x, incx, y, incy, c, s, incc)
ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Detailed Description

Function Documentation

subroutine clartv (integer n, complex, dimension( * ) x, integer incx, complex, dimension( * ) y, integer incy, real, dimension( * ) c, complex, dimension( * ) s, integer incc)

CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

!>
!> CLARTV applies a vector of complex plane rotations with real cosines
!> to elements of the complex vectors x and y. For i = 1,2,...,n
!>
!>    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
!>    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
!>

Parameters

!>          N is INTEGER
!>          The number of plane rotations to be applied.
!>

!>          X is COMPLEX array, dimension (1+(N-1)*INCX)
!>          The vector x.
!>

INCX

!>          INCX is INTEGER
!>          The increment between elements of X. INCX > 0.
!>

!>          Y is COMPLEX array, dimension (1+(N-1)*INCY)
!>          The vector y.
!>

INCY

!>          INCY is INTEGER
!>          The increment between elements of Y. INCY > 0.
!>

!>          C is REAL array, dimension (1+(N-1)*INCC)
!>          The cosines of the plane rotations.
!>

!>          S is COMPLEX array, dimension (1+(N-1)*INCC)
!>          The sines of the plane rotations.
!>

INCC

!>          INCC is INTEGER
!>          The increment between elements of C and S. INCC > 0.
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 106 of file clartv.f.

subroutine dlartv (integer n, double precision, dimension( * ) x, integer incx, double precision, dimension( * ) y, integer incy, double precision, dimension( * ) c, double precision, dimension( * ) s, integer incc)

DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.

Purpose:

!>
!> DLARTV applies a vector of real plane rotations to elements of the
!> real vectors x and y. For i = 1,2,...,n
!>
!>    ( x(i) ) := (  c(i)  s(i) ) ( x(i) )
!>    ( y(i) )    ( -s(i)  c(i) ) ( y(i) )
!>

Parameters

!>          N is INTEGER
!>          The number of plane rotations to be applied.
!>

!>          X is DOUBLE PRECISION array,
!>                         dimension (1+(N-1)*INCX)
!>          The vector x.
!>

INCX

!>          INCX is INTEGER
!>          The increment between elements of X. INCX > 0.
!>

!>          Y is DOUBLE PRECISION array,
!>                         dimension (1+(N-1)*INCY)
!>          The vector y.
!>

INCY

!>          INCY is INTEGER
!>          The increment between elements of Y. INCY > 0.
!>

!>          C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
!>          The cosines of the plane rotations.
!>

!>          S is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
!>          The sines of the plane rotations.
!>

INCC

!>          INCC is INTEGER
!>          The increment between elements of C and S. INCC > 0.
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 107 of file dlartv.f.

subroutine slartv (integer n, real, dimension( * ) x, integer incx, real, dimension( * ) y, integer incy, real, dimension( * ) c, real, dimension( * ) s, integer incc)

SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.

Purpose:

!>
!> SLARTV applies a vector of real plane rotations to elements of the
!> real vectors x and y. For i = 1,2,...,n
!>
!>    ( x(i) ) := (  c(i)  s(i) ) ( x(i) )
!>    ( y(i) )    ( -s(i)  c(i) ) ( y(i) )
!>

Parameters

!>          N is INTEGER
!>          The number of plane rotations to be applied.
!>

!>          X is REAL array,
!>                         dimension (1+(N-1)*INCX)
!>          The vector x.
!>

INCX

!>          INCX is INTEGER
!>          The increment between elements of X. INCX > 0.
!>

!>          Y is REAL array,
!>                         dimension (1+(N-1)*INCY)
!>          The vector y.
!>

INCY

!>          INCY is INTEGER
!>          The increment between elements of Y. INCY > 0.
!>

!>          C is REAL array, dimension (1+(N-1)*INCC)
!>          The cosines of the plane rotations.
!>

!>          S is REAL array, dimension (1+(N-1)*INCC)
!>          The sines of the plane rotations.
!>

INCC

!>          INCC is INTEGER
!>          The increment between elements of C and S. INCC > 0.
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 107 of file slartv.f.

subroutine zlartv (integer n, complex16, dimension( ) x, integer incx, complex16, dimension( ) y, integer incy, double precision, dimension( * ) c, complex16, dimension( ) s, integer incc)

ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

!>
!> ZLARTV applies a vector of complex plane rotations with real cosines
!> to elements of the complex vectors x and y. For i = 1,2,...,n
!>
!>    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
!>    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
!>

Parameters

!>          N is INTEGER
!>          The number of plane rotations to be applied.
!>

!>          X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
!>          The vector x.
!>

INCX

!>          INCX is INTEGER
!>          The increment between elements of X. INCX > 0.
!>

!>          Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
!>          The vector y.
!>

INCY

!>          INCY is INTEGER
!>          The increment between elements of Y. INCY > 0.
!>

!>          C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
!>          The cosines of the plane rotations.
!>

!>          S is COMPLEX*16 array, dimension (1+(N-1)*INCC)
!>          The sines of the plane rotations.
!>

INCC

!>          INCC is INTEGER
!>          The increment between elements of C and S. INCC > 0.
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 106 of file zlartv.f.

Author

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